equations
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equations [2018/05/05 12:23] jakobadmin ↷ Links adapted because of a move operation |
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| ====== Equations ====== | ====== Equations ====== | ||
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| | [[equations:dirac_equation|Dirac Equation]] | [[theories:quantum_field_theory:canonical|Quantum Field Theory]] | | Equation of motion for particles with spin 1/2 | linear | | | [[equations:dirac_equation|Dirac Equation]] | [[theories:quantum_field_theory:canonical|Quantum Field Theory]] | | Equation of motion for particles with spin 1/2 | linear | | ||
| | [[equations:maxwell_equations|Maxwell Equations]] | [[models:classical_electrodynamics|Classical Electrodynamics]], [[theories:quantum_field_theory:canonical|Quantum Field Theory]] | special case of the Yang-Mills equation for a \\ non-abelian gauge theory | Equation of motion for particles with spin 1 in abelian gauge theories | linear | | | [[equations:maxwell_equations|Maxwell Equations]] | [[models:classical_electrodynamics|Classical Electrodynamics]], [[theories:quantum_field_theory:canonical|Quantum Field Theory]] | special case of the Yang-Mills equation for a \\ non-abelian gauge theory | Equation of motion for particles with spin 1 in abelian gauge theories | linear | | ||
| - | | [[equations:einstein_equation|Einstein Equation]] | [[theories:general_relativity|General Relativity]] | | Describes how spacetime gets curved through energy and matter | non-linear | | + | | [[equations:einstein_equation|Einstein Equation]] | [[models:general_relativity|General Relativity]] | | Describes how spacetime gets curved through energy and matter | non-linear | |
| | [[equations:yang_mills_equations|Yang-Mills Equation]] | [[theories:quantum_field_theory:canonical|Quantum Field Theory]] | | Equation of motion for particles with spin 1 in non-abelian gauge theories | non-linear | | | [[equations:yang_mills_equations|Yang-Mills Equation]] | [[theories:quantum_field_theory:canonical|Quantum Field Theory]] | | Equation of motion for particles with spin 1 in non-abelian gauge theories | non-linear | | ||
| | [[equations:navier_stokes]] | [[theories:classical_theories:hydrodynamics|Hydrodynamics]] | | Describe the flow of fluids | non-linear | | | [[equations:navier_stokes]] | [[theories:classical_theories:hydrodynamics|Hydrodynamics]] | | Describe the flow of fluids | non-linear | | ||
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| The equations of motion are usually not enough to describe a system. Especially in the Newtonian framework, we need additional equations that give us, for example, the correct formulas which describe a force that acts on the object in question. For example, | The equations of motion are usually not enough to describe a system. Especially in the Newtonian framework, we need additional equations that give us, for example, the correct formulas which describe a force that acts on the object in question. For example, | ||
| - | * [[equations:newtons_law|Newton's law of gravity]] | + | * [[formulas:newtons_law|Newton's law of gravity]] |
| - | * [[equations:lorentz_force_law|Lorentz' force law]] | + | * [[formulas:lorentz_force_law|Lorentz' force law]] |
| - | * [[equations:coulombs_law|Coulomb's force law]] | + | * [[formulas:coulombs_law|Coulomb's force law]] |
| In addition, we always need to specify the [[basic_notions:boundary_conditions]] for the system in question. | In addition, we always need to specify the [[basic_notions:boundary_conditions]] for the system in question. | ||
equations.1525515835.txt.gz · Last modified: 2018/05/05 10:23 (external edit)
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